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A general model of best response adaptation

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Author Info

  • Ulrich Berger

    (Vienna University of Economics)

Abstract

We develop a general model of best response adaptation in large populations for symmetric and asymmetric conflicts with role-switching. For special cases including the classical best response dynamics and the symmetrized best response dynamics we show that the set of Nash equilibria is attracting for zero-sum games. For asymmetric conflicts and equally large populations, convergence to a Nash equilibrium in the base game implies convergence to a Nash equilibrium on the Wright manifold in the role game.

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File URL: http://128.118.178.162/eps/game/papers/0303/0303008.pdf
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Bibliographic Info

Paper provided by EconWPA in its series Game Theory and Information with number 0303008.

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Length: 21 pages
Date of creation: 25 Mar 2003
Date of revision:
Handle: RePEc:wpa:wuwpga:0303008

Note: Type of Document - pdf-file; pages: 21; figures: included
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Web page: http://128.118.178.162

Related research

Keywords: Role Games; Best Response Adaptation; Learning; Evolution;

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  10. Cressman, R., 2000. "Subgame Monotonicity in Extensive Form Evolutionary Games," Games and Economic Behavior, Elsevier, vol. 32(2), pages 183-205, August.
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  12. Karl H. Schlag, 1995. "Why Imitate, and if so, How? A Bounded Rational Approach to Multi-Armed Bandits," Discussion Paper Serie B 361, University of Bonn, Germany, revised Mar 1996.
  13. Tilman B�rgers & Rajiv Sarin, . "Learning Through Reinforcement and Replicator Dynamics," ELSE working papers 051, ESRC Centre on Economics Learning and Social Evolution.
  14. Ulrich Berger, 2003. "Continuous Fictitious Play via Projective Geometry," Game Theory and Information 0303004, EconWPA.
  15. Friedman, Daniel, 1991. "Evolutionary Games in Economics," Econometrica, Econometric Society, vol. 59(3), pages 637-66, May.
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